The graph is crossing the x-axis at x = - 4 .
If you observe the graph it is touching x = -4 and turning away. When graph exhibit such a behavior we say that the multiplicity of the root is 2. This means the root x = -4 occurs two times. So the factors of the polynomial are x + 4 and x + 4
So the given polynomial can be expressed as (x+4)(x+4).
Thus, the correct answer is option A